Bounds for the cubic Weyl sum

Bounds for the cubic Weyl sum

Subject to the abc-conjecture, we improve the standard Weyl estimate for cubic exponential sums in which the argument is a quadratic irrational. Specifically. we show that, for any ε > 0 and any quadratic irrational α ∈ ℝ-ℚ. Classically one would have had the (unconditional) exponent 3/4 + ε...

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Dades bibliogràfiques
Autor principal:	Heath-Brown, DR
Format:	Journal article
Idioma:	English
Publicat:	2010

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